Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations (Q1009418)
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scientific article; zbMATH DE number 5538677
| Language | Label | Description | Also known as |
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| English | Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations |
scientific article; zbMATH DE number 5538677 |
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Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations (English)
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1 April 2009
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Summary: We establish an existence and uniqueness theorem of pseudo almost automorphic mild solutions to the following partial hyperbolic evolution equation \((d/dt)[u(t)+f(t,Bu(t))]=Au(t)+g(t,Cu(t))\), \(t\in\mathbb R\), under some assumptions. To illustrate our abstract result, a concrete example is given.
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